Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain

Abstract

We study the disconnected entanglement entropy (DEE) of a Kitaev chain in which the chemical potential is periodically modulated with $\delta$-function pulses within the framework of Floquet theory. For this driving protocol, the DEE of a sufficiently large system with open boundary conditions turns out to be integer-quantized, with the integer being equal to the number of Majorana edge modes localized at each edge of the chain generated by the periodic driving, thereby establishing the DEE as a marker for detecting Floquet Majorana edge modes. Analysing the DEE, we further show that these Majorana edge modes are robust against weak spatial disorder and temporal noise. Interestingly, we find that the DEE may, in some cases, also detect the anomalous edge modes which can be generated by periodic driving of the nearest-neighbor hopping, even though such modes have no topological significance and not robust against spatial disorder. We also probe the behaviour of the DEE for a kicked Ising chain in the presence of an integrability breaking interaction which has been experimentally realized.

arXiv comment16 pages, 9 captioned figures

References in corpus (75)

• Topological Insulators
• Topological insulators and superconductors
• Unpaired Majorana fermions in quantum wires
• Entanglement Entropy and Quantum Field Theory
• Classification of topological quantum matter with symmetries
• Entanglement in quantum critical phenomena
• Entanglement entropy and conformal field theory
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Topological characterization of periodically-driven quantum systems
• Atomic quantum gases in periodically driven optical lattices
• Calculation of reduced density matrices from correlation functions
• Floquet Engineering of Quantum Materials
• Topological phases of fermions in one dimension
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Symmetry Protected Topological phases of Quantum Matter
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Floquet generation of Majorana end modes and topological invariants
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
• Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Periodic steady state and interference in a periodically driven quantum system
• Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
• Modulated Floquet Topological Insulators
• Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
• A short review on entanglement in quantum spin systems
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Topological phases, Majorana modes and quench dynamics in a spin ladder system
• Abelian Floquet symmetry-protected topological phases in one dimension
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Topology of one dimensional quantum systems out of equilibrium
• Topological phases and quantum computation
• Dynamical localization in a chain of hard core bosons under a periodic driving
• Floquet Edge States with Ultracold Atoms
• Resonantly Tunable Majorana Polariton in a Microwave Cavity
• Unpaired Floquet Majorana fermions without magnetic fields
• Majorana edge modes in the Kitaev model
• Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
• Entanglement topological invariants for one-dimensional topological superconductors
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Universal fluctuations of Floquet topological invariants at low frequencies
• Majoranas in Noisy Kitaev Wires
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Adiabatic multicritical quantum quenches: Continuously varying exponents depending on the direction of quenching
• Universal quantum criticality in static and Floquet-Majorana chains
• Spin and topological order in a periodically driven spin chain
• Limits of topological protection under local periodic driving
• Sensing Floquet-Majorana fermions via heat transfer
• Generating quantum multi-criticality in topological insulators by periodic driving
• Robustness of symmetry-protected topological states against time-periodic perturbations
• Edge and bulk localization of Floquet topological superconductors
• Driven quantum many-body systems and out-of-equilibrium topology
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Phase Transition in the periodically pulsed Dicke Model
• Non equilibrium phase transitions and Floquet Kibble-Zurek scaling
• Periodically driven many-body quantum battery
• Localization counteracts decoherence in noisy Floquet topological chains
• Majorana Fermions in Periodically Driven Semiconductor-Superconductor Heterostructure
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Geometric phase contribution to quantum non-equilibrium many-body dynamics
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Exact results in Floquet coin toss for driven integrable models
• Universal finite-size gap scaling of the quantum Ising chain

Cited by in corpus (6)

• The impact of different unravelings in a monitored system of free fermions
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Topological properties of a periodically driven Creutz ladder
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Entanglement behavior and localization properties in monitored fermion systems